R/results_vm_mod_nb_ci.R
results_vm_mod_nb_ci.RdResults: Simple Mediation Model - Vale and Maurelli (1983) - Skewness = 2, Kurtosis = 7 - Complete Data - Nonparametric Bootstrap Confidence Intervals
results_vm_mod_nb_ci
A data frame with the following variables
Simulation task identification number.
Sample size.
Monte Carlo replications.
Population slope of path from x to y \(\left( \dot{\tau} \right)\)
Population slope of path from m to y \(\left( \beta \right)\)
Population slope of path from x to m \(\left( \alpha \right)\)
Population indirect effect of x on y through m \(\left( \alpha \beta \right)\)
Population variance of x \(\left( \sigma_{x}^{2} \right)\)
Population error variance of m \(\left( \sigma_{\varepsilon_{m}}^{2} \right)\)
Population error variance of y \(\left( \sigma_{\varepsilon_{y}}^{2} \right)\)
Population mean of x \(\left( \mu_x \right)\).
Population intercept of m \(\left( \delta_m \right)\).
Population intercept of y \(\left( \delta_y \right)\).
Mean of the estimate of the indirect effect \(\left( \hat{\alpha} \hat{\beta} \right)\).
Mean of the estimate of standard error of the indirect effect \(\left( \hat{\alpha} \hat{\beta} \right)\).
Monte Carlo method of bootstrap replications.
Mean of the lower limit confidence interval for the 99.9% confidence interval.
Mean of the lower limit confidence interval for the 99% confidence interval.
Mean of the lower limit confidence interval for the 95% confidence interval.
Mean of the upper limit confidence interval for the 95% confidence interval.
Mean of the upper limit confidence interval for the 99% confidence interval.
Mean of the upper limit confidence interval for the 99.9% confidence interval.
Mean zero hit for the 99.9% confidence interval.
Mean zero hit for the 99% confidence interval.
Mean zero hit for the 95% confidence interval.
Mean confidence interval length for the 99.9% confidence interval.
Mean confidence interval length for the 99% confidence interval.
Mean confidence interval length for the 95% confidence interval.
Mean confidence interval shape for the 99.9% confidence interval.
Mean confidence interval shape for the 99% confidence interval.
Mean confidence interval shape for the 95% confidence interval.
Mean theta hit for the 99.9% confidence interval.
Mean theta hit for the 99% confidence interval.
Mean theta hit for the 95% confidence interval.
Mean theta miss for the 99.9% confidence interval.
Mean theta miss for the 99% confidence interval.
Mean theta miss for the 95% confidence interval.
Population parameter \(\alpha \beta\).
Mean power for the 99.9% confidence interval.
Mean power for the 99% confidence interval.
Mean power for the 95% confidence interval.
Lower limit of the liberal criteria for the 99.9% confidence interval.
Upper limit of the liberal criteria for the 99.9% confidence interval.
Lower limit of the moderate criteria for the 99.9% confidence interval.
Upper limit of the moderate criteria for the 99.9% confidence interval.
Lower limit of the strict criteria for the 99.9% confidence interval.
Upper limit of the strict criteria for the 99.9% confidence interval.
Lower limit of the liberal criteria for the 99% confidence interval.
Upper limit of the liberal criteria for the 99% confidence interval.
Lower limit of the moderate criteria for the 99% confidence interval.
Upper limit of the moderate criteria for the 99% confidence interval.
Lower limit of the strict criteria for the 99% confidence interval.
Upper limit of the strict criteria for the 99% confidence interval.
Lower limit of the liberal criteria for the 95% confidence interval.
Upper limit of the liberal criteria for the 95% confidence interval.
Lower limit of the moderate criteria for the 95% confidence interval.
Upper limit of the moderate criteria for the 95% confidence interval.
Lower limit of the strict criteria for the 95% confidence interval.
Upper limit of the strict criteria for the 95% confidence interval.
Lower limit of the Serlin criteria for the 95% confidence interval.
Upper limit of the Serlin criteria for the 95% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the liberal robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the moderate robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 99.9% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 99% confidence interval.
Logical. 1 if miss rate is inside the strict robustness criteria for 95% confidence interval.
Logical. 1 if miss rate is inside the Serlin robustness criteria for 95% confidence interval.
Type of missingness.
Standardized vs. unstandardize indirect effect.
Method used. Fit in this case.
Sample size labels.
\(\alpha\) labels.
\(\beta\) labels.
\(\dot{\tau}\) labels.
\(\theta\) labels.
The simple mediation model is given by $$ y_i = \delta_y + \dot{\tau} x_i + \beta m_i + \varepsilon_{y_{i}} $$
$$ m_i = \delta_m + \alpha x_i + \varepsilon_{m_{i}} $$
The parameters for the mean structure are $$ \boldsymbol{\theta}_{\text{mean structure}} = \left\{ \mu_x, \delta_m, \delta_y \right\} . $$
The parameters for the covariance structure are $$ \boldsymbol{\theta}_{\text{covariance structure}} = \left\{ \dot{\tau}, \beta, \alpha, \sigma_{x}^{2}, \sigma_{\varepsilon_{m}}^{2}, \sigma_{\varepsilon_{y}}^{2} \right\} . $$
Other results:
results_beta_fit.ols,
results_beta_ols_mc.mvn_ci,
results_exp_fit.ols,
results_exp_ols_mc.mvn_ci,
results_mvn_fit.ols,
results_mvn_fit.sem,
results_mvn_mar_fit.sem,
results_mvn_mar_mc.mvn_ci,
results_mvn_mar_nb.fiml_ci,
results_mvn_mar_pb.mvn_ci,
results_mvn_mcar_fit.sem,
results_mvn_mcar_mc.mvn_ci,
results_mvn_mcar_nb.fiml_ci,
results_mvn_mcar_pb.mvn_ci,
results_mvn_mnar_fit.sem,
results_mvn_mnar_mc.mvn_ci,
results_mvn_mnar_nb.fiml_ci,
results_mvn_nb_ci,
results_mvn_ols_mc.mvn_ci,
results_mvn_pb.mvn_ci,
results_mvn_sem_mc.mvn_ci,
results_vm_mod_fit.ols,
results_vm_mod_fit.sem.mlr,
results_vm_mod_ols_mc.mvn_ci,
results_vm_mod_pb.mvn_ci,
results_vm_mod_sem_mc.mvn_ci,
results_vm_sev_fit.ols,
results_vm_sev_fit.sem.mlr,
results_vm_sev_nb_ci,
results_vm_sev_ols_mc.mvn_ci,
results_vm_sev_pb.mvn_ci,
results_vm_sev_sem_mc.mvn_ci
#> taskid n simreps taudot beta alpha alphabeta sigma2x #> 1 1 1000 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 2 2 500 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 3 3 250 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 4 4 200 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 5 5 150 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> 6 6 100 5000 0.1414214 0.7140742 0.7140742 0.509902 225 #> sigma2epsilonm sigma2epsilony mux deltam deltay est se reps #> 1 110.2721 73.3221 100 28.59258 14.45045 0.5100761 0.03940841 5000 #> 2 110.2721 73.3221 100 28.59258 14.45045 0.5118519 0.05486231 5000 #> 3 110.2721 73.3221 100 28.59258 14.45045 0.5120330 0.07506582 5000 #> 4 110.2721 73.3221 100 28.59258 14.45045 0.5138135 0.08301978 5000 #> 5 110.2721 73.3221 100 28.59258 14.45045 0.5142247 0.09419931 5000 #> 6 110.2721 73.3221 100 28.59258 14.45045 0.5175581 0.11429675 5000 #> ci_0.05 ci_0.5 ci_2.5 ci_97.5 ci_99.5 ci_99.95 zero_hit_99.9 #> 1 0.3947921 0.4164575 0.4370806 0.5911298 0.6182624 0.6489109 0.0000 #> 2 0.3568929 0.3849240 0.4120708 0.6261644 0.6648885 0.7090160 0.0000 #> 3 0.3084855 0.3437124 0.3786050 0.6708837 0.7257699 0.7888711 0.0000 #> 4 0.2910707 0.3296099 0.3673658 0.6904704 0.7522422 0.8231671 0.0002 #> 5 0.2654207 0.3078265 0.3496907 0.7158606 0.7873706 0.8702604 0.0002 #> 6 0.2224689 0.2725096 0.3212871 0.7648283 0.8547713 0.9614265 0.0052 #> zero_hit_99 zero_hit_95 len_99.9 len_99 len_95 shape_99.9 shape_99 #> 1 0e+00 0 0.2541189 0.2018049 0.1540491 1.203070 1.153222 #> 2 0e+00 0 0.3521231 0.2799645 0.2140936 1.271601 1.204404 #> 3 0e+00 0 0.4803856 0.3820575 0.2922787 1.367376 1.275779 #> 4 0e+00 0 0.5320964 0.4226323 0.3231046 1.400991 1.304285 #> 5 0e+00 0 0.6048398 0.4795441 0.3661699 1.453731 1.342263 #> 6 4e-04 0 0.7389575 0.5822617 0.4435413 1.544733 1.410457 #> shape_95 theta_hit_99.9 theta_hit_99 theta_hit_95 theta_miss_99.9 #> 1 1.108886 0.9982 0.9872 0.9428 0.0018 #> 2 1.145965 0.9980 0.9868 0.9410 0.0020 #> 3 1.198152 0.9960 0.9852 0.9384 0.0040 #> 4 1.217168 0.9960 0.9800 0.9314 0.0040 #> 5 1.244057 0.9950 0.9790 0.9336 0.0050 #> 6 1.292798 0.9958 0.9810 0.9250 0.0042 #> theta_miss_99 theta_miss_95 theta power_99.9 power_99 power_95 #> 1 0.0128 0.0572 0.509902 1.0000 1.0000 1 #> 2 0.0132 0.0590 0.509902 1.0000 1.0000 1 #> 3 0.0148 0.0616 0.509902 1.0000 1.0000 1 #> 4 0.0200 0.0686 0.509902 0.9998 1.0000 1 #> 5 0.0210 0.0664 0.509902 0.9998 1.0000 1 #> 6 0.0190 0.0750 0.509902 0.9948 0.9996 1 #> liberal_ll_99.9 liberal_ul_99.9 moderate_ll_99.9 moderate_ul_99.9 #> 1 5e-04 0.0015 8e-04 0.0012 #> 2 5e-04 0.0015 8e-04 0.0012 #> 3 5e-04 0.0015 8e-04 0.0012 #> 4 5e-04 0.0015 8e-04 0.0012 #> 5 5e-04 0.0015 8e-04 0.0012 #> 6 5e-04 0.0015 8e-04 0.0012 #> strict_ll_99.9 strict_ul_99.9 liberal_ll_99 liberal_ul_99 moderate_ll_99 #> 1 9e-04 0.0011 0.005 0.015 0.008 #> 2 9e-04 0.0011 0.005 0.015 0.008 #> 3 9e-04 0.0011 0.005 0.015 0.008 #> 4 9e-04 0.0011 0.005 0.015 0.008 #> 5 9e-04 0.0011 0.005 0.015 0.008 #> 6 9e-04 0.0011 0.005 0.015 0.008 #> moderate_ul_99 strict_ll_99 strict_ul_99 liberal_ll_95 liberal_ul_95 #> 1 0.012 0.009 0.011 0.025 0.075 #> 2 0.012 0.009 0.011 0.025 0.075 #> 3 0.012 0.009 0.011 0.025 0.075 #> 4 0.012 0.009 0.011 0.025 0.075 #> 5 0.012 0.009 0.011 0.025 0.075 #> 6 0.012 0.009 0.011 0.025 0.075 #> moderate_ll_95 moderate_ul_95 strict_ll_95 strict_ul_95 serlin_ll_95 #> 1 0.04 0.06 0.045 0.055 0.035 #> 2 0.04 0.06 0.045 0.055 0.035 #> 3 0.04 0.06 0.045 0.055 0.035 #> 4 0.04 0.06 0.045 0.055 0.035 #> 5 0.04 0.06 0.045 0.055 0.035 #> 6 0.04 0.06 0.045 0.055 0.035 #> serlin_ul_95 liberal_99.9 liberal_99 liberal_95 moderate_99.9 moderate_99 #> 1 0.065 0 1 1 0 0 #> 2 0.065 0 1 1 0 0 #> 3 0.065 0 1 1 0 0 #> 4 0.065 0 0 1 0 0 #> 5 0.065 0 0 1 0 0 #> 6 0.065 0 0 1 0 0 #> moderate_95 strict_99.9 strict_99 strict_95 serlin_95 missing std #> 1 1 0 0 0 1 Complete Unstandardized #> 2 1 0 0 0 1 Complete Unstandardized #> 3 0 0 0 0 1 Complete Unstandardized #> 4 0 0 0 0 0 Complete Unstandardized #> 5 0 0 0 0 0 Complete Unstandardized #> 6 0 0 0 0 0 Complete Unstandardized #> Method n_label alpha_label beta_label taudot_label theta_label #> 1 NBPC n: 1000 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 2 NBPC n: 500 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 3 NBPC n: 250 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 4 NBPC n: 200 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 5 NBPC n: 150 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71) #> 6 NBPC n: 100 α: 0.71 β: 0.71 τ̇: 0.14 0.51(0.71,0.71)#> 'data.frame': 1062 obs. of 79 variables: #> $ taskid : num 1 2 3 4 5 6 7 8 9 10 ... #> $ n : num 1000 500 250 200 150 100 75 50 20 1000 ... #> $ simreps : num 5000 5000 5000 5000 5000 5000 5000 5000 5000 5000 ... #> $ taudot : num 0.141 0.141 0.141 0.141 0.141 ... #> $ beta : num 0.714 0.714 0.714 0.714 0.714 ... #> $ alpha : num 0.714 0.714 0.714 0.714 0.714 ... #> $ alphabeta : num 0.51 0.51 0.51 0.51 0.51 ... #> $ sigma2x : num 225 225 225 225 225 225 225 225 225 225 ... #> $ sigma2epsilonm : num 110 110 110 110 110 ... #> $ sigma2epsilony : num 73.3 73.3 73.3 73.3 73.3 ... #> $ mux : num 100 100 100 100 100 100 100 100 100 100 ... #> $ deltam : num 28.6 28.6 28.6 28.6 28.6 ... #> $ deltay : num 14.5 14.5 14.5 14.5 14.5 ... #> $ est : num 0.51 0.512 0.512 0.514 0.514 ... #> $ se : num 0.0394 0.0549 0.0751 0.083 0.0942 ... #> $ reps : num 5000 5000 5000 5000 5000 5000 5000 5000 5000 5000 ... #> $ ci_0.05 : num 0.395 0.357 0.308 0.291 0.265 ... #> $ ci_0.5 : num 0.416 0.385 0.344 0.33 0.308 ... #> $ ci_2.5 : num 0.437 0.412 0.379 0.367 0.35 ... #> $ ci_97.5 : num 0.591 0.626 0.671 0.69 0.716 ... #> $ ci_99.5 : num 0.618 0.665 0.726 0.752 0.787 ... #> $ ci_99.95 : num 0.649 0.709 0.789 0.823 0.87 ... #> $ zero_hit_99.9 : num 0e+00 0e+00 0e+00 2e-04 2e-04 ... #> $ zero_hit_99 : num 0 0 0 0 0 0.0004 0.0052 0.037 0.48 0 ... #> $ zero_hit_95 : num 0 0 0 0 0 ... #> $ len_99.9 : num 0.254 0.352 0.48 0.532 0.605 ... #> $ len_99 : num 0.202 0.28 0.382 0.423 0.48 ... #> $ len_95 : num 0.154 0.214 0.292 0.323 0.366 ... #> $ shape_99.9 : num 1.2 1.27 1.37 1.4 1.45 ... #> $ shape_99 : num 1.15 1.2 1.28 1.3 1.34 ... #> $ shape_95 : num 1.11 1.15 1.2 1.22 1.24 ... #> $ theta_hit_99.9 : num 0.998 0.998 0.996 0.996 0.995 ... #> $ theta_hit_99 : num 0.987 0.987 0.985 0.98 0.979 ... #> $ theta_hit_95 : num 0.943 0.941 0.938 0.931 0.934 ... #> $ theta_miss_99.9 : num 0.0018 0.002 0.004 0.004 0.005 0.0042 0.0064 0.0046 0.0016 0.0026 ... #> $ theta_miss_99 : num 0.0128 0.0132 0.0148 0.02 0.021 0.019 0.0196 0.0182 0.0162 0.015 ... #> $ theta_miss_95 : num 0.0572 0.059 0.0616 0.0686 0.0664 0.075 0.0728 0.0662 0.068 0.0578 ... #> $ theta : num 0.51 0.51 0.51 0.51 0.51 ... #> $ power_99.9 : num 1 1 1 1 1 ... #> $ power_99 : num 1 1 1 1 1 ... #> $ power_95 : num 1 1 1 1 1 ... #> $ liberal_ll_99.9 : num 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 5e-04 ... #> $ liberal_ul_99.9 : num 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 ... #> $ moderate_ll_99.9: num 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 8e-04 ... #> $ moderate_ul_99.9: num 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 0.0012 ... #> $ strict_ll_99.9 : num 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 9e-04 ... #> $ strict_ul_99.9 : num 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 0.0011 ... #> $ liberal_ll_99 : num 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 ... #> $ liberal_ul_99 : num 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 0.015 ... #> $ moderate_ll_99 : num 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 0.008 ... #> $ moderate_ul_99 : num 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 ... #> $ strict_ll_99 : num 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 0.009 ... #> $ strict_ul_99 : num 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 0.011 ... #> $ liberal_ll_95 : num 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 ... #> $ liberal_ul_95 : num 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 0.075 ... #> $ moderate_ll_95 : num 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 ... #> $ moderate_ul_95 : num 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 ... #> $ strict_ll_95 : num 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 ... #> $ strict_ul_95 : num 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 0.055 ... #> $ serlin_ll_95 : num 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035 ... #> $ serlin_ul_95 : num 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 0.065 ... #> $ liberal_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ liberal_99 : num 1 1 1 0 0 0 0 0 0 0 ... #> $ liberal_95 : num 1 1 1 1 1 1 1 1 1 1 ... #> $ moderate_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ moderate_99 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ moderate_95 : num 1 1 0 0 0 0 0 0 0 1 ... #> $ strict_99.9 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_99 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ strict_95 : num 0 0 0 0 0 0 0 0 0 0 ... #> $ serlin_95 : num 1 1 1 0 0 0 0 0 0 1 ... #> $ missing : chr "Complete" "Complete" "Complete" "Complete" ... #> $ std : chr "Unstandardized" "Unstandardized" "Unstandardized" "Unstandardized" ... #> $ Method : chr "NBPC" "NBPC" "NBPC" "NBPC" ... #> $ n_label : Factor w/ 9 levels "n: 20","n: 50",..: 9 8 7 6 5 4 3 2 1 9 ... #> $ alpha_label : Factor w/ 4 levels "α: 0.00","α: 0.38",..: 4 4 4 4 4 4 4 4 4 4 ... #> $ beta_label : Factor w/ 4 levels "β: 0.00","β: 0.38",..: 4 4 4 4 4 4 4 4 4 4 ... #> $ taudot_label : Factor w/ 4 levels "τ̇: 0.00","τ̇: 0.14",..: 2 2 2 2 2 2 2 2 2 1 ... #> $ theta_label : chr "0.51(0.71,0.71)" "0.51(0.71,0.71)" "0.51(0.71,0.71)" "0.51(0.71,0.71)" ...